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Finding the Fourth Proportional to 853.47, 1,178.46 and 706.95

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Solution

The fourth proportional to 853.47, 1,178.46 and 706.95 is: 976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.47 : 1,178.46 = 706.95 : x
  2. Step 2: Convert to fraction form
    853.47/1,178.46 = 706.95/x
  3. Step 3: Cross multiply
    853.47x = 1,178.46 × 706.95
  4. Step 4: Simplify right side
    853.47x = 833,112.30
  5. Step 5: Solve for x
    x = 833,112.30/853.47
  6. Step 6: Final answer
    x = 976.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.